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22015841380 = 225133719711617
BaseRepresentation
bin10100100000001111…
…110001010001100100
32002211022200121202121
4110200033301101210
5330042023411010
614040335515324
71406400364321
oct244017612144
962738617677
1022015841380
119378406535
124325088b44
1320cb20a5a0
1410cbd05b48
1588cc0c3da
hex5203f1464

22015841380 has 96 divisors (see below), whose sum is σ = 51399333216. Its totient is φ = 7868399616.

The previous prime is 22015841371. The next prime is 22015841429. The reversal of 22015841380 is 8314851022.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 779191396 + 21236649984 = 27914^2 + 145728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1889332 + ... + 1900948.

It is an arithmetic number, because the mean of its divisors is an integer number (535409721).

Almost surely, 222015841380 is an apocalyptic number.

22015841380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22015841380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25699666608).

22015841380 is an abundant number, since it is smaller than the sum of its proper divisors (29383491836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22015841380 is a wasteful number, since it uses less digits than its factorization.

22015841380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11873 (or 11871 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 22015841380 in words is "twenty-two billion, fifteen million, eight hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 197 260 370 394 481 740 788 962 985 1924 1970 2405 2561 3940 4810 5122 7289 9620 10244 11617 12805 14578 23234 25610 29156 36445 46468 51220 58085 72890 94757 116170 145780 151021 189514 232340 302042 379028 429829 473785 604084 755105 859658 947570 1510210 1719316 1895140 2149145 2288549 3020420 4298290 4577098 5587777 8596580 9154196 11175554 11442745 22351108 22885490 27938885 29751137 45770980 55877770 59502274 84676313 111755540 119004548 148755685 169352626 297511370 338705252 423381565 595022740 846763130 1100792069 1693526260 2201584138 4403168276 5503960345 11007920690 22015841380